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Finding the Third Proportional to 651,347 and 1,414,100

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Solution

The third proportional to 651,347 and 1,414,100 is: 3,070,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,347 : 1,414,100 = 1,414,100 : x
  2. Step 2: Convert to fraction form
    651,347/1,414,100 = 1,414,100/x
  3. Step 3: Cross multiply
    651,347x = 1,414,100 × 1,414,100
  4. Step 4: Simplify right side
    651,347x = 1,999,678,810,000
  5. Step 5: Solve for x
    x = 1,999,678,810,000/651,347
  6. Step 6: Final answer
    x = 3,070,066.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.